877968 has 120 divisors (see below), whose sum is σ = 3069248. Its totient is φ = 228096.

The previous prime is 877949. The next prime is 877997. The reversal of 877968 is 869778.

It is a Cunningham number, because it is equal to 937²-1.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

877968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13071 + ... + 13137.

2⁸⁷⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 877968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534624).

877968 is an abundant number, since it is smaller than the sum of its proper divisors (2191280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

877968 is a wasteful number, since it uses less digits than its factorization.

877968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 877968 is about 936.9994663819. Note that the first 3 decimals coincide. The cubic root of 877968 is about 95.7545814695.

The spelling of 877968 in words is "eight hundred seventy-seven thousand, nine hundred sixty-eight".